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5380368 = 243767239
BaseRepresentation
bin10100100001100100010000
3101010100110220
4110201210100
52334132433
6311153040
763506130
oct24414420
911110426
105380368
113045394
121975780
131164c66
14a00ac0
157142b3
hex521910

5380368 has 80 divisors (see below), whose sum is σ = 16189440. Its totient is φ = 1507968.

The previous prime is 5380351. The next prime is 5380369. The reversal of 5380368 is 8630835.

It is not an unprimeable number, because it can be changed into a prime (5380369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22393 + ... + 22631.

It is an arithmetic number, because the mean of its divisors is an integer number (202368).

Almost surely, 25380368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5380368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094720).

5380368 is an abundant number, since it is smaller than the sum of its proper divisors (10809072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5380368 is a wasteful number, since it uses less digits than its factorization.

5380368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5380368 is about 2319.5620276250. The cubic root of 5380368 is about 175.2281975424.

The spelling of 5380368 in words is "five million, three hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 239 268 336 402 469 478 536 717 804 938 956 1072 1407 1434 1608 1673 1876 1912 2814 2868 3216 3346 3752 3824 5019 5628 5736 6692 7504 10038 11256 11472 13384 16013 20076 22512 26768 32026 40152 48039 64052 80304 96078 112091 128104 192156 224182 256208 336273 384312 448364 672546 768624 896728 1345092 1793456 2690184 5380368